1. Reasoning with Operations with Fractions
Dot Talks
Reasoning with Operations with Fractions

2. How many dots are there?

3. How many dots are there?

4. How many dots are there?

5. How many dots are there?

6. How many dots are there?

7. How many are there?

8. How many dots are there?
I did this one with my 5th graders and asked them to think about how someone might solve it by finding 6 sets of 7 and ½. My assumption was that they would figure that there are 7 and ½ if we combine the top rows and we have 6 rows of 7 and ½. One of my students said the 6 sets of 7 and ½ are the top half of each cluster (so the 3 rows of 2 and ½) and there are 6 sets of that cluster of 3 x 2 and ½.